In a bounded Lipschitz domain \(\Omega \) , for each \(X\in \Omega \) , the elliptic measure \(\omega ^X\)  is constructed in [1]} to be the measure on \(\partial \Omega \) , such that \(u(X)=\int _{\partial \Omega }hd\omega ^X\)  solves the Dirichlet problem for continuous boundary data \(h\in C(\partial \Omega )\)  in the sense that \(\operatorname{div}(A\nabla u)=0\)  in \(\Omega \) , with \(u\in W_{loc}^{1,2}(\Omega )\cap C(\overline{\Omega })\) , and \(u=h\)  on \(\partial \Omega \) .
